Geometry of Houghton's Groups

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dc.contributor.advisorBrady, Noel
dc.creatorLee, Sang Rae
dc.date.accessioned2019-04-27T21:36:07Z
dc.date.available2019-04-27T21:36:07Z
dc.date.issued2012
dc.description.abstractKen Brown showed finiteness properties of Houghton's groups by studying the action of those groups on infinite dimensional cell complex. We modify his proof by construction finite dimensional CAT(0) cubical complexes on which Houghton's groups act. We extend
dc.description.abstractD. L. Johnson's result about finite presentation for basic case of Houghton's group to get finite presentations for all Houghton's groups beyond the base case. We also provide exponential isoperimetric inequalities for Houghton's groups.
dc.format.extent88 pages
dc.format.mediumapplication.pdf
dc.identifier99330210702042
dc.identifier.urihttps://hdl.handle.net/11244/319114
dc.languageen_US
dc.relation.requiresAdobe Acrobat Reader
dc.subjectGroup theory
dc.subjectCayley graphs
dc.thesis.degreePh.D.
dc.titleGeometry of Houghton's Groups
dc.typetext
dc.typedocument
ou.groupCollege of Arts and Sciences::Department of Mathematics

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